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12256290 = 2325433167
BaseRepresentation
bin101110110000…
…010000100010
3212001200110200
4232300100202
511114200130
61114410030
7206114424
oct56602042
925050420
1012256290
116a11372
124130916
132701857
1418b0814
151121760
hexbb0422

12256290 has 48 divisors (see below), whose sum is σ = 32617728. Its totient is φ = 3191328.

The previous prime is 12256271. The next prime is 12256301. The reversal of 12256290 is 9265221.

12256290 is a `hidden beast` number, since 12 + 2 + 562 + 90 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2287 + ... + 5453.

It is an arithmetic number, because the mean of its divisors is an integer number (679536).

Almost surely, 212256290 is an apocalyptic number.

12256290 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12256290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16308864).

12256290 is an abundant number, since it is smaller than the sum of its proper divisors (20361438).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12256290 is a wasteful number, since it uses less digits than its factorization.

12256290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3223 (or 3220 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 12256290 is about 3500.8984561109. The cubic root of 12256290 is about 230.5612631502.

The spelling of 12256290 in words is "twelve million, two hundred fifty-six thousand, two hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 43 45 86 90 129 215 258 387 430 645 774 1290 1935 3167 3870 6334 9501 15835 19002 28503 31670 47505 57006 95010 136181 142515 272362 285030 408543 680905 817086 1225629 1361810 2042715 2451258 4085430 6128145 12256290